Magma V2.19-8 Tue Aug 20 2013 17:55:50 on localhost [Seed = 947490768] Type ? for help. Type -D to quit. Loading file "10^2_112__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_112 geometric_solution 10.10265286 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438348770759 1.669458422811 0 5 7 6 0132 0132 0132 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664325046879 0.599096739481 8 0 9 9 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364769103508 0.406792058678 7 9 5 0 0132 2031 0132 0132 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181029282596 0.538093473085 5 8 0 10 0132 0132 0132 0132 0 1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895193003509 1.482309368110 4 1 10 3 0132 0132 0132 0132 0 1 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169847584353 0.748641960473 7 10 1 10 2103 2103 0132 3120 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711787134968 1.270363927362 3 8 6 1 0132 0213 2103 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701464167424 0.494331903410 2 4 7 9 0132 0132 0213 2103 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466413116643 0.759956600909 3 2 2 8 1302 3201 0132 2103 0 0 0 0 0 -1 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116402548659 0.714926955837 6 6 4 5 3120 2103 0132 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169847584353 0.748641960473 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0110_9']), 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : negation(d['c_0110_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_9'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0110_9']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0110_9']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0110_9, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1599863/54144*c_1001_2^9 + 7178585/54144*c_1001_2^8 + 2893625/54144*c_1001_2^7 - 14281613/27072*c_1001_2^6 - 51667777/54144*c_1001_2^5 + 2604473/54144*c_1001_2^4 + 1422857/1504*c_1001_2^3 + 6540961/13536*c_1001_2^2 - 7894853/27072*c_1001_2 - 9813343/54144, c_0011_0 - 1, c_0011_10 - 1253/94*c_1001_2^9 + 2825/47*c_1001_2^8 + 1078/47*c_1001_2^7 - 11246/47*c_1001_2^6 - 39943/94*c_1001_2^5 + 1547/47*c_1001_2^4 + 40419/94*c_1001_2^3 + 19805/94*c_1001_2^2 - 6399/47*c_1001_2 - 3769/47, c_0011_3 + c_1001_2, c_0011_6 + 321/94*c_1001_2^9 - 731/47*c_1001_2^8 - 467/94*c_1001_2^7 + 2850/47*c_1001_2^6 + 9937/94*c_1001_2^5 - 468/47*c_1001_2^4 - 4829/47*c_1001_2^3 - 4521/94*c_1001_2^2 + 3015/94*c_1001_2 + 1607/94, c_0011_9 - 269/188*c_1001_2^9 + 1189/188*c_1001_2^8 + 565/188*c_1001_2^7 - 2387/94*c_1001_2^6 - 8939/188*c_1001_2^5 - 171/188*c_1001_2^4 + 4187/94*c_1001_2^3 + 2231/94*c_1001_2^2 - 1213/94*c_1001_2 - 1595/188, c_0101_0 - 1, c_0101_1 + 221/94*c_1001_2^9 - 492/47*c_1001_2^8 - 203/47*c_1001_2^7 + 1909/47*c_1001_2^6 + 7179/94*c_1001_2^5 + 168/47*c_1001_2^4 - 6021/94*c_1001_2^3 - 3435/94*c_1001_2^2 + 764/47*c_1001_2 + 472/47, c_0101_10 - 979/94*c_1001_2^9 + 4423/94*c_1001_2^8 + 821/47*c_1001_2^7 - 8772/47*c_1001_2^6 - 31181/94*c_1001_2^5 + 2675/94*c_1001_2^4 + 31795/94*c_1001_2^3 + 7830/47*c_1001_2^2 - 10065/94*c_1001_2 - 2942/47, c_0110_9 + 1, c_1001_2^10 - 4*c_1001_2^9 - 4*c_1001_2^8 + 17*c_1001_2^7 + 41*c_1001_2^6 + 14*c_1001_2^5 - 33*c_1001_2^4 - 32*c_1001_2^3 + 2*c_1001_2^2 + 11*c_1001_2 + 3, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB